Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(1 + 5\right)}^{2} - \left((-(-5)) + -6 - -1\right) $$
Correct Answer
$$ 36$$ or 36.0000

2. Simplify 2

Simplify the following expression: $$ {\left(\frac{-4 - 4}{6 - -5}\right)}^{2\left(3 - 4\right)} $$
Correct Answer
$$ {\left(\frac{8}{11}\right)}^{-2}$$ or 1.89062

3. Fractions 1

Simplify the following expression: $$ \frac{-1}{6} - \frac{5}{3} $$
Correct Answer
$$ \frac{-11}{6}$$ or -1.8333333333333335

4. Fractions 2

Simplify the following expression: $$ \frac{2}{2}\frac{5}{4} $$
Correct Answer
$$ \frac{5}{4}$$ or 1.25

5. Significant figures

1. Write the following to 3 significant figures: 0.00062727540
Correct Answer
0.000627 or $$6.27\times10^{-4}$$
2. Write the following to 3 significant figures: 236.12858
Correct Answer
236 or $$2.36\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 4 significant digits: 0.000695495
Correct Answer
$$6.955\times10^{-4}$$
2. Write the following in standard form to 5 significant digits: 205.340
Correct Answer
$$2.0534\times10^{2}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 0.0001823
Correct Answer
$$180\times10^{-6}$$
2. Write the following in preferred standard form to 3 significant digits: 0.000054508
Correct Answer
$$54.5\times10^{-6}$$

8. Simplify 2

Simplify the following expression: $$ {\left(-3 - 3\right)}^{2} + \left(1 + 3\right)\left(3 - 1\right) $$
Correct Answer
$$ 44$$ or 44.0000

9. Simplify 1

Simplify the following expression: $$ 2\left(3 - 5\right)\left(3(-5) - \left(2 + 3\right)\right) $$
Correct Answer
$$ 80$$ or 80.0000

10. Simplify 2

Simplify the following expression: $$ \frac{{\left(1 + 2\right)}^{2}}{5\times1 - \frac{-4}{6}} $$
Correct Answer
$$ \frac{27}{17}$$ or 1.58824


Other Articles:

Quantum Mechanics for programmers

A quick demo showing how to make simulations of simple quantum mechanics systems in javascript.

Chernobyl Simulation

An attempt to simulate the normal running, and then accident of the Chernobyl nuclear reactor.

German Gender and Case Game




© Hugo2015. Session @sessionNumber